On Legendre Curves in α-Sasakian Manifolds
Bulletin of the Malaysian Mathematical Society, Tome 31 (2008) no. 1
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The torsion of a Legendre curve of an α -Sasakian manifold is obtained. Necessary and sufficient conditions for Legendre curves having parallel mean curvature vector, having proper mean curvature vector, being harmonic and being of type AW(k), k=1,2,3 are also obtained.
Classification :
53C25, 53B30, 53C42.
@article{BMMS_2008_31_1_a9,
author = {Cihan Ozgur and Mukut Mani Tripathi},
title = {On {Legendre} {Curves} in {\ensuremath{\alpha}-Sasakian} {Manifolds}},
journal = {Bulletin of the Malaysian Mathematical Society},
year = {2008},
volume = {31},
number = {1},
url = {http://geodesic.mathdoc.fr/item/BMMS_2008_31_1_a9/}
}
Cihan Ozgur; Mukut Mani Tripathi. On Legendre Curves in α-Sasakian Manifolds. Bulletin of the Malaysian Mathematical Society, Tome 31 (2008) no. 1. http://geodesic.mathdoc.fr/item/BMMS_2008_31_1_a9/